标题： XXZ-1/2 Heisenberg链在磁场中的自旋-自旋关联函数 显示英文标题

标题： Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field

摘要： 利用代数贝特 Ansatz 和量子逆散射问题的解，我们计算了 XXZ-1/2 海森堡链在磁场中的自旋自旋关联函数的紧凑表示。在格点距离 m 处，它们通常表示为 m 项的和。这个和中的每一项 n（n=1,...,m）在热力学极限下表示为阶数为 2n+1 的多重积分；积分函数依赖于距离作为某个简单函数的 m 次幂。这些结果的基础是从转移矩阵算子对链上一般量子态的多次作用推导出一个紧凑公式，适用于任意谱参数值。 显示英文摘要

摘要： Using algebraic Bethe ansatz and the solution of the quantum inverse scattering problem, we compute compact representations of the spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field. At lattice distance m, they are typically given as the sum of m terms. Each term n of this sum, n = 1,...,m is represented in the thermodynamic limit as a multiple integral of order 2n+1; the integrand depends on the distance as the power m of some simple function. The root of these results is the derivation of a compact formula for the multiple action on a general quantum state of the chain of transfer matrix operators for arbitrary values of their spectral parameters.